IQmath Library

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5.2.4. IQNmpyI32: Multiplication (IQN*LONG) …………….. .........................................26 5.2.5. IQNmpyI32int: Integer portion of IQN*LONG ……………....................................27 5.2.6. IQNmpyI32frac: Fractional portion of IQN*LONG……………..............................28 5.2.7. IQNmpyIQX: Multiplication (IQN=IQN1*IQN2)……………...................................29 5.2.8. IQNdiv: Fractional portion of IQ*LONG…………….. ..........................................30 5.3. Trignomatric Functions. …………….. ......................................................................34 5.3.1. IQNsin: SIN(radians) …… ................................................................................34 5.3.2. IQNsinPU: SIN(per unit) …… ...........................................................................37 5.3.3. IQNcos: COS(radians) …… .............................................................................40 5.3.4. IQNcosPU: COS(per unit) ..… ..........................................................................43 5.3.6. IQNatan2: 4-quadrant ATAN (radians) …….......................................................46 5.3.7. IQNatan2: 4-quadrant ATAN (per unit) …… ......................................................49 5.3.8. IQNatan: ATAN(radians) …… ..........................................................................52 5.4. Mathamatical Functions. …………….. .....................................................................54 5.3.6. IQNsqrt: Square-root …… ................................................................................54 5.3.7. IQNisqrt: Inverse Square root …… ...................................................................57 5.4.3. IQNmag: Magnitude Square …… .....................................................................61 5.5. Miscellaneous. …………….. ....................................................................................63 5.3.6. IQsat: Saturate IQ number …… ........................................................................63 5.3.7. IQNabs: Absolute value of IQN number …….....................................................64 Appendix A: IQmath C-Calling convention ……………..................................................65 ©Texas Instruments Inc., June 2002 Version 1.4.1
Function Name C28x IQmath LIBRARY BENCHMARKS IQ Format Execution Cycles Accuracy (in bits) Program Memory Trigonometric Functions Input format Output format IQNsin N=1 to 29 46 30 bits 49 words IQN IQN IQNsinPU N=1 to 30 40 30 bits 41 words IQN IQN IQNcos N=1 to 29 44 30 bits 47 words IQN IQN IQNcosPU N=1 to 30 38 29 bits 39 words IQN IQN IQNatan2 N=1 to 29 109 26 bits 123 words IQN IQN IQNatan2PU N=1 to 29 117 27 bits 136 words IQN IQN IQatan N=1 to 29 109 25 bits 123 words IQN IQN Mathematical Functions IQNsqrt N=1 to 30 63 29 bits 66 words IQN IQN IQNisqrt N=1 to 30 64 29 bits 69 words IQN IQN IQNmag N=1 to 30 86 29 bits 96 words IQN IQN Arithmetic Functions Remarks IQNmpy N=1 to 30 ~ 6 cycles 32 bits NA IQN*IQN IQN INTRINSIC IQNrmpy N=1 to 30 17 32 bits 13 words IQN*IQN IQN IQNrsmpy N=1 to 30 21 32 bits 21 words IQN*IQN IQN IQNmpyI32 N=1 to 30 ~ 4 cycles 32 bits NA IQN*long IQN C-MACRO IQNmpyI32int N=1 to 30 22 32 bits 16 words IQN*long long IQNmpyI32frac N=1 to 30 24 32 bits 20 words IQN*long IQN IQNmpyIQX ~ 7 cycles 32 bits NA IQN1*IQN2 IQN INTRINSIC IQNdiv N=1 to 30 63 28 bits 71 words IQN/IQN IQN Format Conversion Utilities IQN N=1 to 30 NA N/A NA Float IQN C-MACRO IQNtoF N=1 to 30 22 N/A 20 words IQN Float atoIQN N=1 to 30 N/A N/A 143 words char * IQN IQNint N=1 to 30 14 32 bits 8 IQN long IQNfrac N=1 to 30 17 32 bits 12 IQN IQN IQtoIQN N=1 to 30 ~4 cycles N/A N/A GLOBAL_Q IQN C-MACRO IQNtoIQ N=1 to 30 ~4 cycles N/A N/A IQN GLOBAL_Q C-MACRO IQtoQN N=1 to 15 ~4 cycles N/A N/A GLOBAL_Q QN C-MACRO QNtoIQ N=1 to 15 ~4 cycles N/A N/A QN GLOBAL_Q C-MACRO Miscellaneous IQsat N=1 to 30 ~7 cycles N/A N/A IQN IQN INTRINSIC IQNabs N=1 to 30 ~2 cycles N/A N/A IQN IQN INTRINSIC Notes: q Execution cycles & Program memory usage mentioned in the Table assumes IQ24 format. ‣ Execution cycles may vary by few cycles for some other IQ format. ‣ Program memory may vary by few words for some other IQ format. q Execution Cycles mentioned in the table includes the CALL and RETURN (LCR + LRETR) and it assumes that the IQmath table is loaded in internal memory. ©Texas Instruments Inc., June 2002 Version 1.4.1
Page 1 and 2: IQmath Library A Virtual Floating P
Page 3 and 4: IMPORTANT NOTICE Texas Instruments
Page 5: Contents 1. Introduction………
Page 9 and 10: Chapter 1: Introduction 1.1. Introd
Page 11 and 12: Chapter 3: Using IQmath Library 3.1
Page 13 and 14: 3.3. Calling a IQmath Function from
Page 15 and 16: CASE II : A complete system consist
Page 17 and 18: Chapter 4: Function Summary The rou
Page 19 and 20: Trignometric Functions: Functions D
Page 21 and 22: Chapter 5: Function Description ©T
Page 23 and 24: IQNtoF Float to IQN data type Descr
Page 25 and 26: IQNint Integer part of IQN number D
Page 27 and 28: IQtoIQN GLOBAL_Q number to IQN Desc
Page 29 and 30: IQtoQN GLOBAL_Q number to QN Descri
Page 31 and 32: IQNmpy IQ Multiplication(IQN*IQN) D
Page 33 and 34: IQNrsmpy IQ Multiplication with rou
Page 35 and 36: IQNmpyI32int Integer portion of (IQ
Page 37 and 38: IQNmpyIQX Multiplication (GLOBAL_Q=
Page 39 and 40: C/C-Callable ASM Interface C/C-Call
Page 41 and 42: Fixed Point vs Floating Point Analy
Page 43 and 44: C-Callable ASM Interface C-Callable
Page 45 and 46: IQNsinPU Description Fixed point SI
Page 47 and 48: IQNsinPU Function vs C Float SIN: I
Page 49 and 50: C-Callable ASM Interface C-Callable
Page 51 and 52: IQNcosPU Fixed point COS (radians i
Page 53 and 54: Fixed Point vs Floating Point Analy
Page 55 and 56: C/C-Callable ASM Interface C/C-Call
Page 57 and 58:
IQNatan2PU Description Fixed point
Page 59 and 60:
Fixed Point vs Floating Point Analy
Page 61 and 62:
C/C-Callable ASM Interface C/C-Call
Page 63 and 64:
C/C-Callable ASM Interface C/C-Call
Page 65 and 66:
IQNisqrt Fixed point Inverse Square
Page 67 and 68:
Fixed Point vs Floating Point Analy
Page 69 and 70:
IQNmag Magnitude of IQ complex numb
Page 71 and 72:
IQNabs Absolute value of IQ number
Page 73:
Appendix A: IQmath C-Calling Conven
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IQmath Library

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